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Complete the series: 2, 5, 9, _________, 20, 27
  • a)
    16
  • b)
    18
  • c)
    24
  • d)
    14
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Complete the series: 2, 5, 9, _________, 20, 27a)16b)18c)24d)14Correct...
Pattern:
To find the missing number in the series, we need to identify the pattern or rule that governs the sequence of numbers. Let's analyze the given series: 2, 5, 9, _________, 20, 27.

Step 1: Difference between consecutive numbers:
The first thing we can observe is that the difference between consecutive numbers is increasing.
- The difference between 5 and 2 is 3.
- The difference between 9 and 5 is 4.
- The difference between 20 and 9 is 11.

Step 2: Differences of differences:
Now, let's calculate the differences between the differences of consecutive numbers:
- The difference between 4 and 3 is 1.
- The difference between 11 and 4 is 7.

Step 3: Identifying the pattern:
From step 2, we can observe that the differences of differences are not constant. However, we can notice that the differences of differences are increasing by 6.

Step 4: Applying the pattern:
Now, let's apply the pattern to find the missing number.
- The difference between 7 and 1 is 6.
- Adding 6 to the last difference of 7, we get 13.
- Adding 13 to the last number 9, we get 22.

Answer:
Therefore, the missing number in the series is 22.
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Community Answer
Complete the series: 2, 5, 9, _________, 20, 27a)16b)18c)24d)14Correct...
The pattern here is adding consecutive odd numbers: 3, 4, 5, and so on. Starting with 2, add 3 to get 5, add 4 to get 9, add 5 to get 14. Therefore, the missing term is 14.
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